Pith Number

pith:7MTFNIWC

pith:2009:7MTFNIWCRLJABBYJRDXOVG25T6

not attested not anchored not stored refs pending

K-theory Schubert calculus of the affine Grassmannian

Anne Schilling, Mark Shimozono, Thomas Lam

arxiv:0901.1506 v3 · 2009-01-12 · math.CO · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MTFNIWCRLJABBYJRDXOVG25T6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

On quantum $K$-groups of partial flag manifolds

Receipt and verification

First computed	2026-05-17T23:53:20.074091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb2656a2c28ad200870988eeea9b5d9fa85215fe1a887f65ea428269b132d5a5

Aliases

arxiv: 0901.1506 · arxiv_version: 0901.1506v3 · doi: 10.48550/arxiv.0901.1506 · pith_short_12: 7MTFNIWCRLJA · pith_short_16: 7MTFNIWCRLJABBYJ · pith_short_8: 7MTFNIWC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7MTFNIWCRLJABBYJRDXOVG25T6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fb2656a2c28ad200870988eeea9b5d9fa85215fe1a887f65ea428269b132d5a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a39a8a428a8dfdf79548850ed9c486b513edb278eef7c7e3382fd0d705a5500d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-01-12T05:30:56Z",
    "title_canon_sha256": "b85aaf11cb7a9359341779e873cf0817507009bde60d52b0a78e88a539d09f69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1506",
    "kind": "arxiv",
    "version": 3
  }
}